大象一二永久2022

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大象一二永久2022:20220607 王茂发 Composition operators on a Hilbert space of Dirichlet series

发布时间:2022-06-06 09:10    浏览次数:    来源:

报告人:  王茂发  教授

报告题目:Composition operators on a Hilbert space of Dirichlet series

报告时间:6月7号(周二)下午3:00-4:00pm

腾讯会议ID:476-570-739 无密码

邀请人: 罗率兵


摘要:The aim of this talk is to characterize when linear combinations of composition operators are compact on the Hilbert space of Dirichlet series with square summable coefficients. Especially, we discuss the topological structure of the set of composition operators acting on the Hilbert space of Dirichlet series.  It reveals that there exists a continuous arc in the set of all bounded composition operators on the space containing non-compact ones. Moreover, it is shown that the linear combinations of composition operators induced by finitely many distinct linear symbols are compact only when each one of them is compact. This is a joint work with Frederic Bayart and Xingxing Yao.


报告人简介:王茂发,武汉大学数学与统计学院教授,博士生导师。主要研究方向是函数空间上的算子理论。主持国家自然科学基金项目多项,在J. Funct. Anal.、J. Operator Theory,Math. Z.等知名期刊上发表学术论文数十篇。


欢迎参加。


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